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In the xy-plane, the sides of a certain rectangle are [#permalink]
14 Feb 2007, 05:00

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Difficulty:

(N/A)

Question Stats:

50%(01:01) correct
50%(00:39) wrong based on 4 sessions

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In the xy-plane, the sides of a certain rectangle are parallel to the axes. If one of the vertices of the rectangle is (-1,-2), what is the perimeter of the rectangle?
(1) One of the vertices of the rectangle is (2, -2).
(2) One of the vertices of the rectangle is (2, 3).

1 vertex is at (-1,-2) and the sides are parallel to the axes implies that 2 sides are supported by the lines x=-1 and y=-2.

To calculate the perimeter, we need to konw either:
> the diagonally opposed vertex to (-1,-2) (Basically, the point to know has to be on a x different from -1 and on a y different from -2)
or
> 2 vertices : one on x=-1 and one on y=-2

Otherwise, we remain with a fluctuating size for 2 sides of the rectangle.

From 1(2,-2) is on the same line y=-2. We miss 1 point to conclude. (Fig 1)